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Finding the Third Proportional to 30,240 and 47,016

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Solution

The third proportional to 30,240 and 47,016 is: 73,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240 : 47,016 = 47,016 : x
  2. Step 2: Convert to fraction form
    30,240/47,016 = 47,016/x
  3. Step 3: Cross multiply
    30,240x = 47,016 × 47,016
  4. Step 4: Simplify right side
    30,240x = 2,210,504,256
  5. Step 5: Solve for x
    x = 2,210,504,256/30,240
  6. Step 6: Final answer
    x = 73,098.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.